Hello Dear Examtrix.com (Exam Tricks) followers, In this post we are going to share an important PDF on All Trigonometry Formulas PDF Download Class 11, 10, 9, 8th,Examtrix provides you the JEE Mains Important Trigonometry formulas in pdf which are available here for free download. Candidates can check here Trigonometry Math formulas pdf which is important for JEE Mains Exams point of view. These formula sheet will be helpful to all the Candidates in revision and to score good marks in JEE Mains Examinations. SSC CGL, Railway and JEE Mains Maths Formulas Trigonometry PDF, which is very useful for each and every competitive exam in India. At this platform we share Trigonometry FormulasHandwritten notes pdf in Hindi-English and Trigonometry FormulasFree Pdf Study material for Competitive exams.

Today, we are sharing SSC CGL free notes, free upsc ias material. This Free PDF Notes (All Trigonometry Formulas PDF Download Class 11, 10, 9, 8th) Trigonometry is a major part of the Quantitative Aptitude giving a tough time to students with its complex formulas and questions. Trigonometry is a major branch of mathematics that deals with the angles and lengths of a triangle. The application of trigonometry is done in astronomical studies and other science fields. There are a total of 6 trigonometric functions namely Sin, Cos, Tan, Sec, Cosec, and Cot. All the formulas, tricks and questions in trigonometry revolve around these 6 functions. All Trigonometry Formulas PDF is important for various exams like UPSC, IAS, RAS, UPPSC, MPPSC, BPSC, SSC CGL, CHSL, CPO, IBPS PO, SBI PO, Railway, RRB NTPC, ASM, Group D, State PSC, Sub inspector, Patwari exam, LDC Exam, Revenue office Exams.

All Trigonometry Formulas PDF Download Class 11, 10, 9, 8th Topics

There are basically 6 Laws used for finding the elements in Trigonometry. They are called trigonometric functions. The six trigonometric functions are sine, cosine, secant, co-secant, tangent and co-tangent.

By using a right-angled triangle as a reference, the trigonometric functions or identities are derived:

sin θ = Opposite Side/Hypotenuse

sec θ = Hypotenuse/Adjacent Side

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

The Reciprocal Identities are given as:

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

A.Trigonometry Formulas involving Periodicity Identities (in Radians)

sin(x+2πn) = sin x

cos(x+2πn) = cos x

tan(x+πn) = tan x

cot(x+πn) = cot x

sec(x+2πn) = sec x

csc(x+2πn) = csc x

B.Trigonometry Formulas involving Cofunction Identities (in Degrees)

sin(90°−x) = cos x

cos(90°−x) = sin x

tan(90°−x) = cot x

cot(90°−x) = tan x

sec(90°−x) = csc x

csc(90°−x) = sec x

C.Trigonometry Formulas involving Sum/Difference Identities:

sin(x+y) = sin(x)cos(y)+cos(x)sin(y)

cos(x+y) = cos(x)cos(y)–sin(x)sin(y)

tan(x+y) = (tan x + tan y)/ (1−tan x •tan y)

sin(x–y) = sin(x)cos(y)–cos(x)sin(y)

cos(x–y) = cos(x)cos(y) + sin(x)sin(y)

tan(x−y) = (tan x–tan y)/ (1+tan x • tan y)

D.Trigonometry Formulas involving Double Angle Identities:

sin(2x) = 2sin(x) • cos(x) = [2tan x/(1+tan2 x)]

cos(2x) = cos2(x)–sin2(x) = [(1-tan2 x)/(1+tan2 x)]

cos(2x) = 2cos2(x)−1 = 1–2sin2(x)

tan(2x) = [2tan(x)]/ [1−tan2(x)]

sec (2x) = sec2 x/(2-sec2 x)

csc (2x) = (sec x. csc x)/2

Some basics Tips to solve the trigonometry questions

(1) Always try to bring the multiple angles to single angles using basic formula. Make sure all your angles are the same. Using sin(2x)sin(2x) and sin(x)sin(x) is difficult, but if you use sin(2x) = 2sin(x)cos(x)sin(2x) = 2sin(x)cos(x), that leaves sin(x)sin(x) and cos(x)cos(x), and now all your functions match. The same goes for addition and subtraction: don’t try working with sin(x+y)sin(x+y) and sin(x−y)sin(x−y). Instead, use sin(X+Y) = sin(x)cos(y)+cos(x)sin(y)sin(X+Y) = sin(x)cos(y)+cos(x)sin(y) so that all the angles match

(2) Converting to sin and cos all the items in the problem using basic formula. I have mentioned sin and cos as they are easy to solve.You can use any other also.

(3)Check all the angles for sums and differences and use the appropriate identities to remove them.

(4) Use Pythagorean identifies to simplify the equations

(5) Practice and Practice. You will soon start figuring out the equation and there symmetry to resolve them fast

Disclaimer: Examtrix.com neither created this file nor scanned, We downloaded this file from internet and linked with this blog or we shared the link which is already available on Internet. We don’t want to violate any copyright law. If anyone has any objection then kindly mail at examtrix@gmail.com to request removal of the link.

Examtrix.com is an online free education platform. its a Non Commercial blog. Its a platform where candidates can get all the Required Study Material and Important Update regarding All Govt. jobs preparation all at one place. Examtrix.com provides Study material and Video lectures. 100% free of cost.